{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Table of Contents](./table_of_contents.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Nonlinear Filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import division, print_function\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <style>\n",
       "        .output_wrapper, .output {\n",
       "            height:auto !important;\n",
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       "        }\n",
       "        .output_scroll {\n",
       "            box-shadow:none !important;\n",
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      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "execution_count": 2,
     "metadata": {},
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    }
   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "The Kalman filter that we have developed uses linear equations, and so the filter can only handle linear problems. But the world is nonlinear, and so the classic filter that we have been studying to this point can have very limited utility. \n",
    "\n",
    "There can be nonlinearity in the process model. Suppose we want to track an object falling through the atmosphere. The acceleration of the object depends on the drag it encounters. Drag depends on air density, and the air density decreases with altitude. In one dimension this can be modelled with the nonlinear differential equation\n",
    "\n",
    "$$\\ddot x = \\frac{0.0034ge^{-x/22000}\\dot x^2}{2\\beta} - g$$\n",
    "\n",
    "A second source of nonlinearity comes from the measurements. For example, radars measure the slant range to an object, and we are typically interested in the aircraft's position over the ground. We invoke Pythagoras and get the nonlinear equation:\n",
    "\n",
    "$$x=\\sqrt{\\mathtt{slant}^2 - \\mathtt{altitude}^2}$$\n",
    "\n",
    "These facts were not lost on the early adopters of the Kalman filter. Soon after Dr. Kalman published his paper people began working on how to extend the Kalman filter for nonlinear problems. \n",
    "\n",
    "It is almost true to state that the only equation anyone knows how to solve is $\\mathbf{Ax}=\\mathbf{b}$. We only really know how to do linear algebra. I can give you any linear set of equations and you can either solve it or prove that it has no solution. \n",
    "\n",
    "Anyone with formal education in math or physics has spent years learning various analytic ways to solve integrals, differential equations and so on. Yet even trivial physical systems produce equations that cannot be solved analytically. I can take an equation that you are able to integrate, insert a $\\log$ term, and render it insolvable. This leads to jokes about physicists stating \"assume a spherical cow on a frictionless surface in a vacuum...\". Without making extreme simplifications most physical problems do not have analytic solutions.\n",
    "\n",
    "How do we do things like model airflow over an aircraft in a computer, or predict weather, or track missiles with a Kalman filter?  We retreat to what we know: $\\mathbf{Ax}=\\mathbf{b}$. We find some way to linearize the problem, turning it into a set of linear equations, and then use linear algebra software packages to compute an approximate solution. \n",
    "\n",
    "Linearizing a nonlinear problem gives us inexact answers, and in a recursive algorithm like a Kalman filter or weather tracking system these small errors can sometimes reinforce each other at each step, quickly causing the algorithm to spit out nonsense. \n",
    "\n",
    "What we are about to embark upon is a difficult problem. There is not one obvious, correct, mathematically optimal solution anymore. We will be using approximations, we will be introducing errors into our computations, and we will forever be battling filters that *diverge*, that is, filters whose numerical errors overwhelm the solution. \n",
    "\n",
    "In the remainder of this short chapter I will illustrate the specific problems the nonlinear Kalman filter faces. You can only design a filter after understanding the particular problems the nonlinearity in your problem causes. Subsequent chapters will then teach you how to design and implement different kinds of nonlinear filters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Problem with Nonlinearity\n",
    "\n",
    "The mathematics of the Kalman filter is beautiful in part due to the Gaussian equation being so special. It is nonlinear, but when we add and multiply them we get another Gaussian as a result. That is very rare. $\\sin{x}*\\sin{y}$ does not yield a $\\sin$ as an output.\n",
    "\n",
    "What I mean by linearity may be obvious, but there are some subtleties. The mathematical requirements are twofold:\n",
    "\n",
    "* additivity: $f(x+y) = f(x) + f(y)$\n",
    "* homogeneity: $f(ax) = af(x)$\n",
    "\n",
    "\n",
    "This leads us to say that a linear system is defined as a system whose output is linearly proportional to the sum of all its inputs. A consequence of this is that to be linear if the input is zero than the output must also be zero. Consider an audio amp - if I sing into a microphone, and you start talking, the output should be the sum of our voices (input) scaled by the amplifier gain. But if the amplifier outputs a nonzero signal such as a hum for a zero input the additive relationship no longer holds. This is because linearity requires that $amp(voice) = amp(voice + 0)$. This clearly should give the same output, but if amp(0) is nonzero, then\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "amp(voice) &= amp(voice + 0) \\\\\n",
    "&= amp(voice) + amp(0) \\\\\n",
    "&= amp(voice) + non\\_zero\\_value\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "which is clearly nonsense. Hence, an apparently linear equation such as\n",
    "\n",
    "$$L(f(t)) = f(t) + 1$$\n",
    "\n",
    "is not linear because $L(0) = 1$. Be careful!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Intuitive Look at the Problem\n",
    "\n",
    "I particularly like the following way of looking at the problem, which I am borrowing from Dan Simon's *Optimal State Estimation* [[1]](#[1]). Consider a tracking problem where we get the range and bearing to a target, and we want to track its position. The reported distance is 50 km, and the reported angle is 90$^\\circ$. Assume that the errors in both range and angle are distributed in a Gaussian manner. Given an infinite number of measurements what is the expected value of the position?\n",
    "\n",
    "I have been recommending using intuition to gain insight, so let's see how it fares for this problem. We might reason that since the mean of the range will be 50 km, and the mean of the angle will be 90$^\\circ$, that the answer will be x=0 km, y=50 km.\n",
    "\n",
    "Let's plot that and find out. Here are 3000 points plotted with a normal distribution of the distance of 0.4 km, and the angle having a normal distribution of 0.35 radians. We compute the average of the all of the positions, and display it as a star. Our intuition is displayed with a large circle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import randn\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "N = 5000\n",
    "a = np.pi/2. + (randn(N) * 0.35)\n",
    "r = 50.0     + (randn(N) * 0.4)\n",
    "xs = r * np.cos(a)\n",
    "ys = r * np.sin(a)\n",
    "\n",
    "plt.scatter(xs, ys, label='Sensor', color='k', \n",
    "            alpha=0.4, marker='.', s=1)\n",
    "xmean, ymean = sum(xs) / N, sum(ys) / N\n",
    "plt.scatter(0, 50, c='k', marker='o', s=200, label='Intuition')\n",
    "plt.scatter(xmean, ymean, c='r', marker='*', s=200, label='Mean')\n",
    "plt.axis('equal')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that out intuition failed us because the nonlinearity of the problem forced all of the errors to be biased in one direction. This bias, over many iterations, can cause the Kalman filter to diverge. Even if it doesn't diverge the solution will not be optimal. Linear approximations applied to nonlinear problems yields inaccurate results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Effect of Nonlinear Functions on Gaussians\n",
    "\n",
    "Gaussians are not closed under an arbitrary nonlinear function. Recall the equations of the Kalman filter - at each evolution we pass the Gaussian representing the state through the process function to get the Gaussian at time $k$. Our process function was always linear, so the output was always another Gaussian.  Let's look at that on a graph. I will take an arbitrary Gaussian and pass it through the function $f(x) = 2x + 1$ and plot the result. We know how to do this analytically, but let's use sampling. I will generate 500,000 points with a normal distribution, pass them through $f(x)$, and plot the results. I do it this way because the next example will be nonlinear, and we will have no way to compute this analytically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy.random import normal\n",
    "\n",
    "data = normal(loc=0., scale=1., size=500000)\n",
    "plt.hist(2*data + 1, 1000);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is an unsurprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, nonlinear function, and output at once."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kf_book.book_plots import set_figsize, figsize\n",
    "from kf_book.nonlinear_plots import plot_nonlinear_func\n",
    "\n",
    "def g1(x):\n",
    "    return 2*x+1\n",
    "\n",
    "plot_nonlinear_func(data, g1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> I explain how to plot Gaussians, and much more, in the Notebook *Computing_and_Plotting_PDFs* in the \n",
    "Supporting_Notebooks folder. You can also read it online [here](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb)[1]\n",
    "\n",
    "The plot labeled 'Input' is the histogram of the original data. This is passed through the  function $f(x)=2x+1$ which is displayed in the chart on the bottom left. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the right. For the output I computed the mean by taking the average of all the points, and drew the results with the dotted blue line. A solid blue line shows the actual mean for the point $x=0$. The output looks like a Gaussian, and is in fact a Gaussian. We can see that the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean The computed mean, represented by the dotted blue line, is nearly equal to the actual mean. If we used more points in our computation we could get arbitrarily close to the actual value.\n",
    "\n",
    "Now let's look at a nonlinear function and see how it affects the probability distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g2(x):\n",
    "    return (np.cos(3*(x/2 + 0.7))) * np.sin(0.3*x) - 1.6*x\n",
    "\n",
    "plot_nonlinear_func(data, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This result may be somewhat surprising to you. The function looks \"fairly\" linear, but the probability distribution of the output is completely different from a Gaussian.  Recall the equations for multiplying two univariate Gaussians:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mu &=\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2} \\\\\n",
    "\\sigma &= \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n",
    "\\end{aligned}$$\n",
    "\n",
    "These equations do not hold for non-Gaussians, and certainly do not hold for the probability distribution shown in the 'Output' chart above. \n",
    "\n",
    "Here's another way to look at the same data as scatter plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 30000\n",
    "plt.subplot(121)\n",
    "plt.scatter(data[:N], range(N), alpha=.1, s=1.5)\n",
    "plt.title('Input')\n",
    "plt.subplot(122)\n",
    "plt.title('Output')\n",
    "plt.scatter(g2(data[:N]), range(N), alpha=.1, s=1.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The original data is clearly Gaussian, but the data passed through `g2(x)` is no longer normally distributed. There is a thick band near -3, and the points are unequally distributed on either side of the band. If you compare this to the pdf labelled 'output' in the previous chart you should be able to see how the pdf shape matches the distribution of `g(data)`.\n",
    "\n",
    "Think of what this implies for the Kalman filter algorithm of the previous chapter. All of the equations assume that a Gaussian passed through the process function results in another Gaussian. If this is not true then all of the assumptions and guarantees of the Kalman filter do not hold. Let's look at what happens when we pass the output back through the function again, simulating the next step time step of the Kalman filter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = g2(data)\n",
    "plot_nonlinear_func(y, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the probability function is further distorted from the original Gaussian. However, the graph is still somewhat symmetric around x=0, let's see what the mean is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "input  mean, variance: -0.0014, 1.0015\n",
      "output mean, variance: -0.1223, 2.4074\n"
     ]
    }
   ],
   "source": [
    "print('input  mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(data), np.var(data)))\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(y), np.var(y)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare that to the linear function that passes through (-2,3) and (2,-3), which is very close to the nonlinear function we have plotted. Using the equation of a line we have\n",
    "\n",
    "$$m=\\frac{-3-3}{2-(-2)}=-1.5$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "output mean, variance: 0.0020, 2.2533\n"
     ]
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -1.5 * x\n",
    "\n",
    "plot_nonlinear_func(data, g3)\n",
    "out = g3(data)\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(out), np.var(out)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although the shapes of the output are very different, the mean and variance of each are almost the same. This may lead us to reasoning that perhaps we can ignore this problem if the nonlinear equation is 'close to' linear. To test that, we can iterate several times and then compare the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear    output mean, variance: 0.1173, 7492.8388\n",
      "nonlinear output mean, variance: -8.9527, 30531.3374\n"
     ]
    }
   ],
   "source": [
    "out = g3(data)\n",
    "out2 = g2(data)\n",
    "\n",
    "for i in range(10):\n",
    "    out = g3(out)\n",
    "    out2 = g2(out2)\n",
    "print('linear    output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out), np.std(out)**2))\n",
    "print('nonlinear output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out2), np.std(out2)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unfortunately the nonlinear version is not stable. It drifted significantly from the mean of 0, and the variance is half an order of magnitude larger.\n",
    "\n",
    "I minimized the issue by using a function that is quite close to a straight line. What happens if the function is $y(x)=-x^2$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -x*x\n",
    "\n",
    "data = normal(loc=1, scale=1, size=500000)\n",
    "plot_nonlinear_func(data, g3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Despite the curve being smooth and reasonably straight at $x=1$ the probability distribution of the output doesn't look anything like a Gaussian and the computed mean of the output is quite different than the value computed directly. This is not an unusual function - a ballistic object moves in a parabola, and this is the sort of nonlinearity your filter will need to handle. If you recall we've tried to track a ball and failed miserably. This graph should give you insight into why the filter performed so poorly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A 2D Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is hard to look at probability distributions and reason about what will happen in a filter. So let's think about tracking an aircraft with radar. The estimate may have a covariance that looks like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import kf_book.nonlinear_internal as nonlinear_internal\n",
    "\n",
    "nonlinear_internal.plot1()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What happens when we try to linearize this problem? The radar gives us a range to the aircraft. Suppose the radar is directly under the aircraft (x=10) and the next measurement states that the aircraft is 3 miles away (y=3). The positions that could match that measurement form a circle with radius 3 miles, like so."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot2()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see by inspection that the probable position of the aircraft is somewhere near x=11.4, y=2.7 because that is where the covariance ellipse and range measurement overlap. But the range measurement is nonlinear so we have to linearize it. We haven't covered this material yet, but the Extended Kalman filter will linearize at the last position of the aircraft - (10,2). At x=10 the range measurement has y=3, and so we linearize at that point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot3()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we have a linear representation of the problem (literally a straight line) which we can solve. Unfortunately you can see that the intersection of the line and the covariance ellipse is a long way from the actual aircraft position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot4()"
   ]
  },
  {
   "cell_type": "markdown",
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    "That sort of error often leads to disastrous results. The error in this estimate is large. But in the next innovation of the filter that very bad estimate will be used to linearize the next radar measurement, so the next estimate is likely to be markedly worse than this one. After only a few iterations the Kalman filter will diverge, and start producing results that have no correspondence to reality.\n",
    "\n",
    "This covariance ellipse spans miles. I exaggerated the size to illustrate the difficulties of highly nonlinear systems. In real radar tracking problems the nonlinearity is usually not that bad, but the errors will still accumulate. Other systems you might work with could have this amount of nonlinearity - this was not an exaggeration only to make a point. You will always be battling divergence when working with nonlinear systems."
   ]
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   "source": [
    "## The Algorithms"
   ]
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    "You may be impatient to solve a specific problem, and wondering which filter to use. I will quickly survey the options. The subsequent chapters are somewhat independent of each other, and you can fruitfully skip around, though I recommend reading linearly if you truly want to master all of the material. \n",
    "\n",
    "The workhorses of nonlinear filters are the *linearized Kalman filter* and *extended Kalman filter* (EKF). These two techniques were invented shortly after Kalman published his paper and they have been the main techniques used since then. The flight software in airplanes, the GPS in your car or phone almost certainly use one of these techniques. \n",
    "\n",
    "However, these techniques are extremely demanding. The EKF linearizes the differential equations at one point, which requires you to find a solution to a matrix of partial derivatives (a Jacobian). This can be difficult or impossible to do analytically. If impossible, you have to use numerical techniques to find the Jacobian, but this is expensive computationally and introduces more error into the system. Finally, if the problem is quite nonlinear the linearization leads to a lot of error being introduced in each step, and the filters frequently diverge. You cannot throw some equations into some arbitrary solver and expect to to get good results. It's a difficult field for professionals. I note that most Kalman filtering textbooks merely gloss over the EKF despite it being the most frequently used technique in real world applications. \n",
    "\n",
    "Recently the field has been changing in exciting ways. First, computing power has grown to the point that we can use techniques that were once beyond the ability of a supercomputer. These use *Monte Carlo* techniques - the computer generates thousands to tens of thousands of random points and tests all of them against the measurements. It then probabilistically kills or duplicates points based on how well they match the measurements. A point far away from the measurement is unlikely to be retained, whereas a point very close is quite likely to be retained. After a few iterations there is a clump of particles closely tracking your object, and a sparse cloud of points where there is no object.\n",
    "\n",
    "This has two benefits. First, the algorithm is robust even for extremely nonlinear problems. Second, the algorithm can track arbitrarily many objects at once - some particles will match the behavior of one object, and other particles will match other objects. So this technique is often used to track automobile traffic, people in crowds, and so on. \n",
    "\n",
    "The costs should be clear. It is computationally expensive to test tens of thousands of points for every step in the filter. But modern CPUs are very fast, and this is a good problem for GPUs because the part of the algorithm is parallelizable. Another cost is that the answer is not mathematical. With a Kalman filter my covariance matrix gives me important information about the amount of error in the estimate. The particle filter does not give me a rigorous way to compute this. Finally, the output of the filter is a cloud of points; I then have to figure out how to interpret it. Usually you will be doing something like taking the mean and standard deviations of the points, but this is a difficult problem. There are still many points that do not 'belong' to a tracked object, so you first have to run some sort of clustering algorithm to first find the points that seem to be tracking an object, and then you need another algorithm to produce a state estimate from those points. None of this is intractable, but it is all quite computationally expensive. \n",
    "\n",
    "\n",
    "Finally, we have a new algorithm called the *unscented Kalman filter* (UKF). It does not require you to find analytic solutions to nonlinear equations, and yet almost always performs better than the EKF. It does well with nonlinear problems - problems where the EKF has significant difficulties. Designing the filter is extremely easy. Some will say the jury is still out on the UKF, but to my mind the UKF is superior in almost every way to the EKF. I suggest that the UKF should be the starting point for any implementation, especially if you are not a Kalman filter professional with a graduate degree in control theory. The main downside is that the UKF can be a few times slower than the EKF, but this really depends on whether the EKF solves the Jacobian analytically or numerically. If numerically the UKF is almost certainly faster. It has not been proven (and probably it cannot be proven) that the UKF always yields more accurate results than the EKF. In practice it almost always does, often significantly so. It is very easy to understand and implement, and I strongly suggest this filter as your starting point. "
   ]
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   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The world is nonlinear, but we only really know how to solve linear problems. This introduces significant difficulties for Kalman filters. We've looked at how nonlinearity affects filtering in 3 different but equivalent ways, and I've given you a brief summary of the major appoaches: the linearized Kalman filter, the extended Kalman filter, the Unscented Kalman filter, and the particle filter. \n",
    "\n",
    "Until recently the linearized Kalman filter and EKF have been the standard way to solve these problems. They are very difficult to understand and use, and they are also potentially very unstable. \n",
    "\n",
    "Recent developments have offered what are to my mind superior approaches. The UKF dispenses with the need to find solutions to partial differential equations, yet it is also usually more accurate than the EKF. It is easy to use and understand. I can get a basic UKF going in a few minutes by using FilterPy. The particle filter dispenses with mathematical modeling completely in favor of a Monte Carlo technique of generating a random cloud of thousands of points. It runs slowly, but it can solve otherwise intractable problems with relative ease.\n",
    "\n",
    "I get more email about the EKF than anything else; I suspect that this is because most treatments in books, papers, and on the internet use the EKF. If your interest is in mastering the field of course you will want to learn about the EKF. But if you are just trying to get good results I point you to the UKF and particle filter first. They are much easier to implement, understand, and use, and they are typically far more stable than the EKF. \n",
    "\n",
    "Some will quibble with that advice. A lot of recent publications are devoted to a comparison of the EKF, UKF, and perhaps a few other choices for a given problem. Do you not need to perform a similar comparison for your problem? If you are sending a rocket to Mars then of course you do. You will be balancing issues such as accuracy, round off errors, divergence, mathematical proof of correctness, and the computational effort required. I can't imagine not knowing the EKF intimately. \n",
    "\n",
    "On the other hand the UKF works spectacularly! I use it at work for real world applications. I mostly haven't even tried to implement an EKF for these applications because I can verify that the UKF is working fine. Is it possible that I might eke out another 0.2% of performance from the EKF in certain situations? Sure! Do I care? No! I completely understand the UKF implementation, it is easy to test and verify, I can pass the code to others and be confident that they can understand and modify it, and I am not a masochist that wants to battle difficult equations when I already have a working solution. If the UKF or particle filters start to perform poorly for some problem then I will turn to other techniques, but not before then. And realistically, the UKF usually provides substantially better performance than the EKF over a wide range of problems and conditions. If \"really good\" is good enough I'm going to spend my time working on other problems. \n",
    "\n",
    "I'm belaboring this point because in most textbooks the EKF is given center stage, and the UKF is either not mentioned at all or just given a 2 page gloss that leaves you completely unprepared to use the filter. The UKF is still relatively new, and it takes time to write new editions of books. At the time many books were written the UKF was either not discovered yet, or it was just an unproven but promising curiosity. But as I am writing this now, the UKF has had enormous success, and it needs to be in your toolkit. That is what I will spend most of my effort trying to teach you. "
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "<A name=\"[1]\">[1]</A> https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb"
   ]
  }
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